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AP EAMCET · Maths · Circle

The centre of a circle is \((2,-3)\) and the circumference is \(10 \pi\). Then its equation is

  1. A \(x^2+y^2+4 x+6 y+12=0\)
  2. B \(x^2+y^2-4 x+6 y+12=0\)
  3. C \(x^2+y^2-4 x+6 y-12=0\)
  4. D \(x^2+y^2-4 x-6 y-12=0\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(x^2+y^2-4 x+6 y-12=0\)

Step-by-step Solution

Detailed explanation

Let the radius of required circle is ' \(r\) ', so the circumference \(=2 \pi r=10 \pi\) (given) \(\Rightarrow \quad r=5\) and centre of required circle is \((2,-3)\) So, the equation of required circle is…